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Finding the Third Proportional to 307,759.50 and 460,409.06

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Solution

The third proportional to 307,759.50 and 460,409.06 is: 688,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,759.50 : 460,409.06 = 460,409.06 : x
  2. Step 2: Convert to fraction form
    307,759.50/460,409.06 = 460,409.06/x
  3. Step 3: Cross multiply
    307,759.50x = 460,409.06 × 460,409.06
  4. Step 4: Simplify right side
    307,759.50x = 211,976,504,832.13
  5. Step 5: Solve for x
    x = 211,976,504,832.13/307,759.50
  6. Step 6: Final answer
    x = 688,773.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.